Provide an appropriate response.Of all numbers whose sum is 60, find the two that have the maximum product. Is there a minimum product? Explain.

A. 0 and 30 ; There is not a minimum product since the function that represents the product has just one critical point, and that critical point is a maximum. The domain is the real line, and on either side of the maximum the function decreases without bound.
B. 30 and 30; There is not a minimum product since the function that represents the product has just one critical point, and that critical point is a maximum. The domain is the real line, and on either side of the maximum the function decreases without bound.
C. 30 and 30; The minimum product is 0.
D. 0 and 30; The minimum product is 0.


Answer: B

Mathematics

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